NUMS — Medical & Dental Entry Test
Take the NUMS Chemistry — Kinetics, Acids and Bases, Electrochemistry (Set 3): 30 multiple-choice questions (40 minutes) with instant scoring and a full…
What this test covers
The first 5 questions of this test, with the correct answer and explanation.
Q1. In an experiment, doubling [A] doubles the rate while doubling [B] quadruples the rate. What is the rate law and overall order?
Answer: B. Rate = k[A][B]², third order
Explanation: Rate ∝ [A]¹ (2¹ = 2) and ∝ [B]² (2² = 4); overall order = 1 + 2 = 3.
Q2. What are the units of the rate constant k for a second-order reaction when concentration is in mol dm⁻³ and time in seconds?
Answer: B. dm³ mol⁻¹ s⁻¹
Explanation: k = rate/[conc]² = (mol dm⁻³ s⁻¹)/(mol² dm⁻⁶) = dm³ mol⁻¹ s⁻¹.
Q3. A first-order reaction has a rate constant of 0.0231 min⁻¹. What percentage of the reactant remains after 90 minutes? (ln 2 = 0.693)
Answer: D. 12.5%
Explanation: t½ = 0.693/0.0231 = 30 min; 90 min is 3 half-lives, so (½)³ = 12.5% remains.
Q4. A first-order reaction has a half-life of 10 minutes. How long does it take for 80% of the reactant to be consumed?
Answer: D. 23.2 min
Explanation: k = 0.693/10 = 0.0693 min⁻¹; t = (1/k)ln(1/0.20) = ln 5/0.0693 = 23.2 min.
Q5. A zero-order reaction has k = 0.020 mol dm⁻³ s⁻¹ and an initial concentration of 0.80 mol dm⁻³. What is its half-life?
Answer: D. 20 s
Explanation: For zero-order t½ = [A]₀/2k = 0.80/(2 × 0.020) = 20 s.
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Q6. The rate of a reaction doubles for every 10 °C rise in temperature. By what factor does the rate increase when the temperature rises from 20 °C to 50 °C?
Q7. A reaction has an activation energy of 50 kJ mol⁻¹. By what factor does k increase when the temperature rises from 300 K to 310 K? (R = 8.314 J K⁻¹ mol⁻¹)
Q8. A catalyst increases the rate of a reversible reaction. Which quantity does it NOT change?
Q9. Which statement about the molecularity of a reaction is correct?
Q10. Which of the following is NOT a requirement for a collision to produce a reaction according to collision theory?
Q11. What is the pH of a 0.0005 M solution of Ba(OH)₂ at 25 °C, assuming complete dissociation?
Q12. What is the pH of a 0.10 M solution of acetic acid (Ka = 1.8 × 10⁻⁵)?
Q13. A 0.10 M weak monobasic acid has Ka = 1.0 × 10⁻⁵. What is its percentage ionisation?
Q14. 100 mL of 0.10 M HCl is mixed with 100 mL of 0.050 M NaOH. What is the pH of the mixture?
Q15. What is the pH of a buffer containing 0.10 M acetic acid and 0.20 M sodium acetate? (pKa = 4.76)
Q16. A solution of ammonium acetate (CH₃COONH₄) in water is approximately neutral. What is the reason?
Q17. The pH of pure water at 100 °C is about 6.1. What does this indicate?
Q18. What is the conjugate base of the dihydrogen phosphate ion, H₂PO₄⁻?
Q19. Which indicator is most suitable for the titration of acetic acid against NaOH?
Q20. What is the oxidation number of carbon in methanol, CH₃OH?
Q21. In acidic solution, how many moles of Fe²⁺ are oxidised to Fe³⁺ by one mole of MnO₄⁻ (which is reduced to Mn²⁺)?
Q22. In a titration, 25.0 mL of an acidified Fe²⁺ solution requires 20.0 mL of 0.020 M KMnO₄. What is the molarity of the Fe²⁺ solution?
Q23. What is the standard EMF of a Zn–Cu galvanic cell? (E° Cu²⁺/Cu = +0.34 V, E° Zn²⁺/Zn = −0.76 V)
Q24. What is the EMF of the cell Zn | Zn²⁺ (0.010 M) || Cu²⁺ (1.0 M) | Cu at 25 °C? (E°cell = 1.10 V; use 0.0591 V)
Q25. Why does copper (E° = +0.34 V) not liberate hydrogen gas from dilute hydrochloric acid?
Q26. What mass of copper is deposited from CuSO₄ solution by a current of 2.0 A flowing for 965 s? (Cu = 63.5, F = 96 500 C mol⁻¹)
Q27. What are the products at the cathode and anode during electrolysis of concentrated aqueous sodium chloride (brine) using inert electrodes?
Q28. For how long must a current of 3.0 A be passed through molten Al₂O₃ solution to deposit 2.7 g of aluminium? (Al = 27, F = 96 500 C mol⁻¹)
Q29. What happens to the sulphuric acid concentration in a lead–acid battery as it discharges?
Q30. In the reaction BF₃ + F⁻ → BF₄⁻, what is the role of BF₃?